arXiv:2606.31878v1 Announce Type: cross Abstract: We investigate two approaches for extending CEGAR-tableaux with SAT-shortcuts using a previously known approach called RECAR but also a totally new approach using the modal resolution theorem prover KSP as an oracle. Our experiments using our C++ implementation CEGARBox++ of CEGAR-tableaux show that: (1) CEGARBox++ with RECAR SAT-shortcuts is not competitive (2) CEGARBox++ using KSP to provide SAT-shortcuts is superior to both CEGARBox++ and KSP, particularly on large satisfiable problems. As far as we know, this is the first effective integrat
This research provides a new advancement in modal logic theorem proving, specifically CEGAR-tableaux with SAT-shortcuts, which is a foundational area for AI reasoning and verification.
Improved theorem proving efficiency can accelerate development of more robust, verifiable, and complex AI systems, impacting fields from software verification to autonomous agents.
This research demonstrates a superior method for integrating SAT-shortcuts into CEGAR-tableaux, leading to performance gains, particularly for large satisfiable problems in modal logic.
- · AI researchers
- · Developers of formal verification tools
- · Industries relying on AI safety and reliability
- · Less efficient theorem proving methodologies
More efficient logical reasoning will enable the creation of more complex and reliable AI components.
The improved verification capabilities might reduce development cycles and increase adoption of AI in critical applications.
Long-term widespread adoption of such robust reasoning could lead to a higher overall trustworthiness in AI systems, expanding their societal integration.
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Read at arXiv cs.AI